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Chebyshev's inequality application in queues domain tail distributions upper bound calculation

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Detalhes bibliográficos
Resumo:In the countless queues applications, and related quantities, the distribution functions are of great importance. This is because only they allow the interesting probabilities determination. Often practical expressions are difficult to obtain. In this work two situations for which upper bounds tail distributions are obtained, through Chebyshev’s inequality, are presented.
Autores principais:Ferreira, Manuel Alberto M.
Assunto:Chebyshev's inequality M|G|∞ M|M|1 Bbusy period Sojourn time
Ano:2014
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso embargado
Instituição associada:ISCTE
Idioma:inglês
Origem:Repositório ISCTE
Descrição
Resumo:In the countless queues applications, and related quantities, the distribution functions are of great importance. This is because only they allow the interesting probabilities determination. Often practical expressions are difficult to obtain. In this work two situations for which upper bounds tail distributions are obtained, through Chebyshev’s inequality, are presented.